document.write( "Question 1060519: A chemist mixes a 10% hydrogen peroxide solution with a 25% hydrogen peroxide solution to create 30 liters of a 15% hydrogen peroxide solution. How many liters of the 10% solution did the chemist use to make the 15% solution? \n" ); document.write( "
Algebra.Com's Answer #675462 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! let x be the number of liters for the 10% solution \n" ); document.write( "let y be the number of liters for the 25% solution \n" ); document.write( ": \n" ); document.write( "total liters for 10% solution is 0.10x \n" ); document.write( "total liters for 25% solution is 0.25y \n" ); document.write( ": \n" ); document.write( "x + y = 30 \n" ); document.write( "total liters of 15% solution is 0.15 * 30 = 4.50 liters \n" ); document.write( ": \n" ); document.write( "y = 30 - x \n" ); document.write( ": \n" ); document.write( "0.10x + 0.25(30-x) = 4.50 \n" ); document.write( ": \n" ); document.write( "Note that I substituted for y for the 25% solution \n" ); document.write( ": \n" ); document.write( "0.10x + 7.50 -0.25x = 4.50 \n" ); document.write( ": \n" ); document.write( "-0.15x = -3.00 \n" ); document.write( ": \n" ); document.write( "x = 20 \n" ); document.write( ": \n" ); document.write( "********************************************** \n" ); document.write( "The chemist used 20 liters of the 10% solution \n" ); document.write( "********************************************** \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( " |